We review the recent developments and the current status in the field of quantum-gas cavity
QED. Since the first experimental demonstration of atomic self-ordering in a system …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

We report direct observations of photon-mediated spin-exchange interactions in an atomic
ensemble. Interactions extending over a distance of 500 μ m are generated within a cloud of …

Coupling Bose-Einstein condensates to optical cavities has enabled the study of many-body
states with long-range interactions. However, equivalent experiments with ultracold Fermi …

Pumps are transport mechanisms in which direct currents result from a cyclic evolution of the
potential,. As Thouless showed, the pumping process can have topological origins, when …

Controlling the topological properties of quantum matter is a major goal of condensed matter
physics. A major effort in this direction has been devoted to using classical light in the form of …

A density wave (DW) is a fundamental type of long-range order in quantum matter tied to self-
organization into a crystalline structure. The interplay of DW order with superfluidity can lead …

We show that an energy gap is induced in graphene by light-matter coupling to a circularly
polarized photon mode in a cavity. Using many-body perturbation theory, we compute the …

We demonstrate how virtual scattering of laser photons inside a cavity via two-photon
processes can induce controllable long-range electron interactions in two-dimensional …